(13s+7)(6s-5)=0

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Solution for (13s+7)(6s-5)=0 equation: 


Simplifying
(13s + 7)(6s + -5) = 0

Reorder the terms:
(7 + 13s)(6s + -5) = 0

Reorder the terms:
(7 + 13s)(-5 + 6s) = 0

Multiply (7 + 13s) * (-5 + 6s)
(7(-5 + 6s) + 13s * (-5 + 6s)) = 0
((-5 * 7 + 6s * 7) + 13s * (-5 + 6s)) = 0
((-35 + 42s) + 13s * (-5 + 6s)) = 0
(-35 + 42s + (-5 * 13s + 6s * 13s)) = 0
(-35 + 42s + (-65s + 78s2)) = 0

Combine like terms: 42s + -65s = -23s
(-35 + -23s + 78s2) = 0

Solving
-35 + -23s + 78s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-7 + -13s)(5 + -6s) = 0


Subproblem 1
Set the factor '(-7 + -13s)' equal to zero and attempt to solve:

Simplifying
-7 + -13s = 0

Solving
-7 + -13s = 0

Move all terms containing s to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -13s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -13s = 0 + 7
-13s = 0 + 7

Combine like terms: 0 + 7 = 7
-13s = 7

Divide each side by '-13'.
s = -0.5384615385

Simplifying
s = -0.5384615385

Subproblem 2
Set the factor '(5 + -6s)' equal to zero and attempt to solve:

Simplifying
5 + -6s = 0

Solving
5 + -6s = 0

Move all terms containing s to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -6s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6s = 0 + -5
-6s = 0 + -5

Combine like terms: 0 + -5 = -5
-6s = -5

Divide each side by '-6'.
s = 0.8333333333

Simplifying
s = 0.8333333333
Solution
s = {-0.5384615385, 0.8333333333}

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